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Finding the Fourth Proportional to 176,146.38, 243,078.86 and 107,210.90

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Solution

The fourth proportional to 176,146.38, 243,078.86 and 107,210.90 is: 147,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,146.38 : 243,078.86 = 107,210.90 : x
  2. Step 2: Convert to fraction form
    176,146.38/243,078.86 = 107,210.90/x
  3. Step 3: Cross multiply
    176,146.38x = 243,078.86 × 107,210.90
  4. Step 4: Simplify right side
    176,146.38x = 26,060,704,227.30
  5. Step 5: Solve for x
    x = 26,060,704,227.30/176,146.38
  6. Step 6: Final answer
    x = 147,949.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.